Convert Degree to Radian & Other Angle Units

📝 Angle Units & Formulas

Unit	Formula	Value 100 degrees
Radian, rad	rad = ° × π/180	100 ° = 1,74532925199 rad
Gradian, grad	grad = ° × 10/9	100 ° = 111,1111111 grad
Minute of time, ′	′ = ° × 4	100 ° = 400 ′
Second of time, ″	″ = ° × 240	100 ° = 24 000 ″
Arcminute, arcmin	arcmin = ° × 60	100 ° = 6000 arcmin
Arcsecond, arcsec	arcsec = ° × 3600	100 ° = 360 000 arcsec
Quadrant, quad	quad = ° / 90	100 ° = 1,1111111 quad
Revolution, rev	rev = ° / 360	100 ° = 0,2777778 rev
Gon, gon	gon = ° × 10/9	100 ° = 111,1111111 gon
Milliradian, mrad	mrad = ° × 50π/9	100 ° = 1745,32925199 mrad

🔁 Degree Conversion Examples

Convert degree to radian

• 1 ° × π/180 = 0,0174532925199 rad
• 10 ° × π/180 = 0,174532925199 rad

Convert degree to gradian

• 1 ° × 10/9 = 1,111111111 grad
• 10 ° × 10/9 = 11,11111111 grad

Convert degree to minute of time

• 1 ° × 4 = 4 ′
• 10 ° × 4 = 40 ′

Convert degree to second of time

• 1 ° × 240 = 240 ″
• 10 ° × 240 = 2400 ″

Convert degree to arcminute

• 1 ° × 60 = 60 arcmin
• 10 ° × 60 = 600 arcmin

Convert degree to arcsecond

• 1 ° × 3600 = 3600 arcsec
• 10 ° × 3600 = 36 000 arcsec

Convert degree to quadrant

• 1 ° / 90 = 0,0111111 quad
• 10 ° / 90 = 0,1111111 quad

Convert degree to revolution

• 1 ° / 360 = 0,0027777778 rev
• 10 ° / 360 = 0,027777778 rev

Convert degree to gon

• 1 ° × 10/9 = 1,111111111 gon
• 10 ° × 10/9 = 11,11111111 gon

Convert degree to milliradian

• 1 ° × 50π/9 = 17,4532925199 mrad
• 10 ° × 50π/9 = 174,532925199 mrad

✅ Degree to Radian Converter FAQ

✔️How to convert ° to rad?

If you need to convert degrees to radians, you can use the following formula: rad = ° × π/180. That is the easiest way to make a ° to rad conversion.

✔️What is the formula to change ° to arcmin?

To convert degrees to arcminutes, you can use a simple formula: arcmin = ° × 60. For example, 2 degrees equals 120 arcminutes.

✔️How much is 1 degree?

1 degree is 0,0174532925199 radians, 60 arcminutes, and 1,111111111 gons.